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Finding the Fourth Proportional to 285.93, 430.72 and 257.45

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Solution

The fourth proportional to 285.93, 430.72 and 257.45 is: 387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.93 : 430.72 = 257.45 : x
  2. Step 2: Convert to fraction form
    285.93/430.72 = 257.45/x
  3. Step 3: Cross multiply
    285.93x = 430.72 × 257.45
  4. Step 4: Simplify right side
    285.93x = 110,886.07
  5. Step 5: Solve for x
    x = 110,886.07/285.93
  6. Step 6: Final answer
    x = 387.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.